If ω is a complex cube root of unity, then the value of a + bω + cω^2/c + aω + bω^2 + a + bω + cω^2/b + cω + aω^2 is equal to

Question 1

If ω is a complex cube root of unity, then the value of a + bω + cω2/c + aω + bω2 + a + bω + cω2/b + cω + aω2 is equal to

(a) –1

(b) 2

(c) 2ω

(d) of these

Question 2

Correct option (a) –1

Explanation:

1/ω (a + bω2 + cω3)/aω + aω2 + c + 1/ω2 (aω2 + bω3+ cω4)/b + cω + aω2

= 1/ω + 1/ω2

⇒ω2 + ω = -1

kratos · Answer 1 · 2020-12-11T16:07:43+0000

Correct option (a) –1

Explanation:

1/ω (a + bω2 + cω3)/aω + aω2 + c + 1/ω2 (aω2 + bω3+ cω4)/b + cω + aω2

= 1/ω + 1/ω2

⇒ω2 + ω = -1

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